2424245093280 has 144 divisors (see below), whose sum is σ = 8274629346984. Its totient is φ = 646317434880.

The previous prime is 2424245093273. The next prime is 2424245093341. The reversal of 2424245093280 is 823905424242.

2424245093280 is a `hidden beast` number, since 2 + 4 + 242 + 45 + 0 + 93 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2239967209104 + 184277884176 = 1496652^2 + 429276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175842 + ... + 6556638.

Almost surely, 2^{2424245093280} is an apocalyptic number.

2424245093280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424245093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137314673492).

2424245093280 is an abundant number, since it is smaller than the sum of its proper divisors (5850384253704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2424245093280 is a wasteful number, since it uses less digits than its factorization.

2424245093280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385239 (or 385228 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2424245093280 in words is "two trillion, four hundred twenty-four billion, two hundred forty-five million, ninety-three thousand, two hundred eighty".